A girl writes a different natural number on each of the cubes in the image. The sum of numbers on cubes in the lowest layer is 50. The numbers on the cubes in the second layer are the sum of numbers on the cubes beneath them. Using the same procedure the number on the top cube is obtained. What is the greatest number that can be written on the top cube? ?

Q: Find the least amount of different numbers to pick from positive integers that are at most 100 to…

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Q: We need to find all the whole numbers that have remainder 1 upon division by 4 and write our answer…

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Q: If a number is not divisible by 6, then it is not divisible by 3. true or false

A: If a number is not divisible by 6, then it is not divisible by 3.

Q: A license plate must contain 2 numerical digits followed by 2 letters. If the first digit cannot be…

A: Given 1. A license plate must contain 2 numerical digits followed by 2 letters. 2. the first digit…

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Q: pair of these integers with a sum equal to 9.

A: Let us take set under consideration {1,2,3,4,5,6,7,8}Possible pairs {{1,8}, {2,7}, {3,6}, {4,5}}…

Q: Determine how many eight-digit positive integers you can make if the integers must include at least…

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Q: 1. Find the greatest number which divides 64 and 80 completely. 2. Find the least number which when…

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Q: Find the smallest positive integer that leaves a remainder of 1 when divided by 2, a remainder of 2…

A: Let N be such a number N=10a+9:  N+1 = 10a+10 N=9b+8: N+1 = 9b+9 N=8c+7: N+1 = 8c+8 N=7d+6 and so on…

Q: When the smallest of three consecutive odd integers is added to four times the largest, it produces…

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Q: Some states have a single area code for the entire state. Two such states have area codes where one…

A: The sum of two codes is 1203.  To find the two codes.

Q: as of october 25, the average number of daily confirmed COVID-19 cases in country A is 3250 and the…

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Q: At the end of 2005, the largest known prime number was 2^30402457 -1, write an expression for the…

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Q: What is the smallest positive integer that has 6, 8, and 10 as factors?

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Q: Find the least common multiple of each pair of numbers using the prime factors method. 10,4

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Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern, what is the greatest number in this…

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Q: A boy imagined a four digit number multiple of 5 with different digit .if the first digit erased,…

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Q: A license plate must contain 2 numerical digits followed by 3 letters. If the first digit cannot be…

A: Consider a license plate which has to contain 2 numerical digits and followed by 3 letters. The…

Q: If a number is divisible by 8, then it is divisible by 4. true or false

A: We can answer the question as below.

Q: What is the number of positive integers not larger than 210 and not divisible by 2, 3 or 7?…

A: Within 210, the number of integers that are divisible by 2= 210/2= 105  Within 210, the number of…

Q: What is the sum of all 13-digit numbers?

A: What is the sum of all 13-digit numbers?

Q: A prime number that is a common factor of 20 and 32 ?

A: Consider the given positive integer 20 and 32.In order to find the prime factor of 20 and 32, first…

Q: How to form the digits 2,9,6,4 and 3 from the greatest 5-digit odd number

A: To find the greatest 5-digit odd number

Q: A girl writes a different natural number on each of the cubes in the image. The sum of numbers on…

A: For maximizing a particular number in an equation, try minimizing other numbers. By doing this…

Q: Find the smallest integer greater than 100 that is divisible by 5, but leaves the remainders 1, 5…

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Q: Write the following in terms of factorials. 1. number of arrangements in a row of 8 objects taken 6…

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Q: How many numbers consisting of five different digits can be made from the digits (0, 1 , 2, 3, 4, 5,…

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Q: The first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34 seats,…

A: Given: he first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34…

Q: If a class of children is separated into groups of 5 children, 2 children will be left over. If the…

A: Let the number of children in the class is N. 1. It is given that when the children are seperated…

Q: how many 6 digit numbers can be formed, if at the place of hundred thousand there are allowed two…

A: Yes your step is right.Hundredth thousand place can be chosen in 2 ways. And hundredth place can be…

Q: Tina must select and answer in any order three of six essay questions on a test. In how many ways…

A: No.of questions to select the answer (r) = 3 Total no.of essay questions (n) = 6 The formula for…

Q: what is the smallest positive integer greater than 1 that divides the number 7^2021-13^2021

A: here 7×2021-13×2021  =2021(7-13)                                       =2021(-6)…

Q: Find the least three-digit whole number that has exactly five positive factors. The least three…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: Find all primes that divide 50!

A: Solution:-

Q: If all the books on a shelf with fewer than 45 books were put into piles of five books each, no…

A: number of books is m, m < 45. If they are arranged into piles of five books, each no books would…

Q: To determine whether a number is divisible by 18, we can see if the number is divisible by 6 and 3.…

A: The statement is false.   For a number to be divisible by 18 should be divisible by 9 and 2.   The…

Q: Find the largest positive integers that will divide 398, 436 and 542 leaving emainders 7, 11 and 15…

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Q: What is the smallest sum possible sum of 25 consecutive positive integers which s a perfect square?

A: Let's take the 25 consecutive positive numbers as an Arithmetic Progression with first term a.…

Q: If the average of 5 integers is 300, if the average of the first 2 integers is 100, and the the…

A: given: the average of 5 integers is 300. the average of the first 2 integers is 100. the average of…

Q: а. Can one arrange with more than 4 Science books? b. Can one arrange with at least 2 Math books?…

A: Here use combination for given problems

Q: “If the product of two counting numbers is an even counting number, then both of the counting…

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Q: The sum of an integer and 4 less than that integer is even.

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Q: How many twin primes are there where both primes are less than or equal to 31? Number of twin…

A: Twin prime: If there is only one composite number between two prime numbers, then that two numbers…

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: The chairs of an auditorium are to be labeled with a letter and a positive integer not exceeding…

A: Given: The chairs of an auditorium are to be labeled with a letter and a positive integer not…

Q: What is the sum of the first 9,000 positive integers

A: topic - arithmetic sequence answer is 40504500

Q: (a) How many car number plates can be made if each plate contains 2 different letters followed by 3…

A: Answer: For the given data,

Q: With six card, each card has 32 numbers on it. If Fraudini added two new cards (and updated the old…

A: Given Six card with 32 numbers in them as shown below1)Here the trick is Fraudini ask to pick any…

Q: What 2 nonnegative numbers with a sum of 23 have the largest possible product?

A: Given information: The two non negative numbers with a sum of 23.  Calculation: Consider x and y are…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.